Wednesday, March 10, 2021

Number of the day: 61091

Properties of the number 61091:

61091 is a cyclic number.
61091 is the 6153th prime.
61091 has 9 antidivisors and 61090 totatives.
61091 has an emirp digit sum 17 in base 10.
61091 = 305462 - 305452 is the difference of 2 nonnegative squares in 1 way.
61091 is the difference of 2 positive pentagonal numbers in 1 way.
61091 = 12 + 92 + 2472 is the sum of 3 positive squares.
610912 is the sum of 3 positive squares.
61091 is a proper divisor of 1087149 - 1.
61091 is an emirp in (at least) the following bases: 2, 4, 6, 11, 14, 19, 31, 44, 49, 53, 56, 61, 65, 68, 72, 74, 77, 79, 82, 89, 90, and 92.
61091 is palindromic in (at least) base 95.

The number 61091 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A153402: Smaller of 3 consecutive prime numbers such that p1*p2*p3+d1+d2-1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2.
A337251: Positive integers k such that k^2 = A^2+B^2+C^2 and A^3+B^3+C^3 = m^3, where gcd(A,B,C) = 1 and A, B, C, m are positive integers.

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